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Cubic Functions•
Non-Linear Functions

Cubic Graphs - Recognising, Sketching and Interpreting WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Solving quadratic equations graphically. Y intercepts.
Learning Objective: Recognise, sketch and interpret graphs of cubic functions

Cubic Graphs - Recognising, Sketching and Interpreting WORKSHEET DESCRIPTION

Deepen students' knowledge of graphs of cubic functions with this worksheet.

Section A asks learners to recognise cubic graphs as they have to select cubic graphs from a selection of eight different graphs. The other functions are linear, quadratic, reciprocal and exponential.

In section B, learners label features of a cubic graph with given keywords such as root and y intercept.

Then students will read values from a given graph of a cubic function such as the roots and interpret these as solutions.

Section D uses y intercepts to match three graphs to three equations.

The worksheet closes with an extension where students will use their knowledge to sketch the graph of a cubic function by using its solutions, roots and y intercept.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Cubic Graphs - Recognising, Sketching and Interpreting Worksheet fit for students in year 10 and year 11

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Frequently Asked Questions

Students should be comfortable with solving quadratic equations graphically and understanding y intercepts before tackling cubic functions. This foundation knowledge helps learners make connections between different types of graphs and their key features. Having these skills in place means students can focus on the unique characteristics of cubic graphs rather than struggling with basic graphical concepts.